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Finding the Third Proportional to 197,694 and 423,991.50

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Solution

The third proportional to 197,694 and 423,991.50 is: 909,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,694 : 423,991.50 = 423,991.50 : x
  2. Step 2: Convert to fraction form
    197,694/423,991.50 = 423,991.50/x
  3. Step 3: Cross multiply
    197,694x = 423,991.50 × 423,991.50
  4. Step 4: Simplify right side
    197,694x = 179,768,792,072.25
  5. Step 5: Solve for x
    x = 179,768,792,072.25/197,694
  6. Step 6: Final answer
    x = 909,328.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.